Corrections

I'm writing some suggestions below, there are many ways of saying the same thing, but I'm writing down what seems most natural for me, plus comments :)

שלג

השבוע ירד הרבה שלג.

You can place the time word at the end of a sentence, however most people would use it at the beginning.

יש עדיין קצת על הקרקע, אבל לא כבתחילה.

--->

עכשיו, יש עדיין קצת שלג על הקרקע, אבל לא כמו לפני כן

Or

לא כמו קודם

or (spoken mainly)

אבל פחות ממה שהיה

כבתחילהIs a beautiful way of phrasing it, however this very "high" language, and a little bit "old fashioned". It is important to emphasize, however, that it is not a mistake, but a use of a rarely-used way of writing (and no-longer-used way of speech)

עכשיו

I added another time-phrase for the sake of contrast and clarification.